document.write( "Question 700388: the weekly wages of John and Stephanie are in the ratio 5:3. their weekly expenditures are in the ration 9:5. each saves $30 dollars a week, find their weekly wages. \n" ); document.write( "
Algebra.Com's Answer #431886 by ankor@dixie-net.com(22740)\"\" \"About 
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the weekly wages of John and Stephanie are in the ratio 5:3.
\n" ); document.write( " their weekly expenditures are in the ration 9:5. each saves $30 dollars a week, find their weekly wages.
\n" ); document.write( ":
\n" ); document.write( "Let x = the multiplier for their wages, then:
\n" ); document.write( "5x = J's wages
\n" ); document.write( "3x = S's wages
\n" ); document.write( ";
\n" ); document.write( "Let y = the multiplier for their expenditures, then
\n" ); document.write( "9y = J's expend
\n" ); document.write( "5y = S's expend
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each
\n" ); document.write( "5x - 9y = 30
\n" ); document.write( "3x - 5y = 30
\n" ); document.write( ":
\n" ); document.write( "Use elimination here multiply the 1st equation by 3, the 2nd by 5
\n" ); document.write( "15x - 27y = 90
\n" ); document.write( "15x - 25y = 150
\n" ); document.write( "------------------subtraction eliminates x, find y
\n" ); document.write( "-2y = -60
\n" ); document.write( "y = +30 is the multiplier for expenses
\n" ); document.write( "Find x
\n" ); document.write( "5x - 9(30) = 30
\n" ); document.write( "5x - 270 = 30
\n" ); document.write( "5x = 30 + 270
\n" ); document.write( "5x = 300
\n" ); document.write( "x = 300/5
\n" ); document.write( "x = 60 is the multiplier for wages
\n" ); document.write( "Then
\n" ); document.write( "5(60) = $300 is J's wages
\n" ); document.write( "3(60) = $180 is S's wages \n" ); document.write( "
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